If you were given the function F(x) = 3x, write functions that would transform F(x) in the following ways:

1. Shift the function up 3 times

2. Shift the function down 5 times

3. Dilate the function

If you were given the function F(x) = 2x2 , write functions that would transform F(x) in the following ways:

1. Shift the function up 1.5 times

2. Shift the function RIGHT 8 times

3. VERTICALLY STRETCH THE FUNCTION BY a factor of 3

I can transform functions using horizontal and vertical shifts, horizontal and vertical dilations, and reflections.

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If I had the following function, how could I translate that function 3 units right?

f(x) = 2x2 - 4